What 2 square numbers subtract to make 8188?

What two square numbers subtract to make 8188? In other words, when you subtract one square number from another square number, the answer is 8188. What are the two square numbers?

First, note that a square number is what you get when you multiply a number by itself, which means that the square root of a square number will equal a whole number. Thus, this is what we are solving:

A² - B² = 8188

We solved the equation above and found this to be true:

112² - 66² = 8188

112² is 12544 and 66² is 4356, therefore the answer to the question "What 2 square numbers subtract to make 8188?" is 12544 and 4356 as illustrated below:

12544 - 4356 = 8188

Note that there may be more than one solution to a problem like this. Above, we found the lowest combination of square numbers that subtract to 8188. Below we list alternate solutions if available.

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